Title :
On the Lyapunov Partial Differential Equation
Author :
Pait, Felipe ; Colón, Diego
Author_Institution :
Laboratorio de Automacao e Controle, Univ. de Sao Paulo, Laboratorio de Automacao e Controle
Abstract :
Solving the Lyapunov partial differential equation one can obtain necessary and sufficient conditions for stability of a dynamical system. We establish conditions under which it can be solved, and construct the solution in the case of curve systems - those generated by nabla-Killing vector fields of the connection on the manifold where the system evolves
Keywords :
Lyapunov methods; partial differential equations; stability; Killing vector fields; Lyapunov stability; Riemannian geometry; curve systems; dynamical system stability; partial differential equations; Asymptotic stability; Control systems; Geometry; Integral equations; Lyapunov method; Partial differential equations; Stability analysis; Sufficient conditions; USA Councils; Vectors; Killing vector fields; Lyapunov stability; Riemannian geometry; partial differential equations;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377043
